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Finding the Third Proportional to 117,600 and 254,063

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Solution

The third proportional to 117,600 and 254,063 is: 548,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,600 : 254,063 = 254,063 : x
  2. Step 2: Convert to fraction form
    117,600/254,063 = 254,063/x
  3. Step 3: Cross multiply
    117,600x = 254,063 × 254,063
  4. Step 4: Simplify right side
    117,600x = 64,548,007,969
  5. Step 5: Solve for x
    x = 64,548,007,969/117,600
  6. Step 6: Final answer
    x = 548,877.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.